Non-Abelian anyons and topological quantum computation
Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …
Topological phases with parafermions: theory and blueprints
We concisely review the recent evolution in the study of parafermions—exotic emergent
excitations that generalize Majorana fermions and similarly underpin a host of novel …
excitations that generalize Majorana fermions and similarly underpin a host of novel …
Symmetry fractionalization, defects, and gauging of topological phases
We examine the interplay of symmetry and topological order in 2+ 1-dimensional topological
quantum phases of matter. We present a precise definition of the topological symmetry …
quantum phases of matter. We present a precise definition of the topological symmetry …
[图书][B] Introduction to topological quantum computation
JK Pachos - 2012 - books.google.com
Combining physics, mathematics and computer science, topological quantum computation
is a rapidly expanding research area focused on the exploration of quantum evolutions that …
is a rapidly expanding research area focused on the exploration of quantum evolutions that …
Universal topological quantum computation from a superconductor-abelian quantum hall heterostructure
Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that
could ultimately provide the foundation for a decoherence-free quantum computer. A key …
could ultimately provide the foundation for a decoherence-free quantum computer. A key …
Topological quantum computation
M Freedman, A Kitaev, M Larsen, Z Wang - Bulletin of the American …, 2003 - ams.org
The theory of quantum computation can be constructed from the abstract study of anyonic
systems. In mathematical terms, these are unitary topological modular functors. They …
systems. In mathematical terms, these are unitary topological modular functors. They …
Exotic non-Abelian anyons from conventional fractional quantum Hall states
Non-Abelian anyons—particles whose exchange noncommutatively transforms a system's
quantum state—are widely sought for the exotic fundamental physics they harbour and for …
quantum state—are widely sought for the exotic fundamental physics they harbour and for …
[图书][B] Topological quantum computation
Z Wang - 2010 - books.google.com
Topological quantum computation is a computational paradigm based on topological
phases of matter, which are governed by topological quantum field theories. In this …
phases of matter, which are governed by topological quantum field theories. In this …
On classification of modular tensor categories
We classify all unitary modular tensor categories (UMTCs) of rank≤ 4. There are a total of
35 UMTCs of rank≤ 4 up to ribbon tensor equivalence. Since the distinction between the …
35 UMTCs of rank≤ 4 up to ribbon tensor equivalence. Since the distinction between the …
Measurement-only topological quantum computation
P Bonderson, M Freedman, C Nayak - Physical review letters, 2008 - APS
We remove the need to physically transport computational anyons around each other from
the implementation of computational gates in topological quantum computing. By using an …
the implementation of computational gates in topological quantum computing. By using an …